Limit behaviors of the estimator of non parametric regression model based on extended negatively dependent errors

被引：2
|
作者：
Zhang, Shuili [1 ]
Qu, Cong [1 ]
Hou, Tiantian [1 ]
机构：
[1] Pingdingshan Univ, Coll Math & Stat, Pingdingshan 467000, Henan, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 24期
关键词：
Non parametric regression model; extended negatively dependent; convergence rate; complete consistency; RANDOM-VARIABLES; WEIGHTED ESTIMATOR; CONSISTENCY;
D O I：
10.1080/03610926.2022.2069263
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this article, we study the complete consistency for the estimator of non parametric regression model based on extended negatively dependent errors, and obtain the convergence rates of the complete consistency by using the inequalities for extended negatively dependent random variables. As an application, the complete consistency and convergence rate for the nearest neighbor estimator are obtained. Finally, some simulations are illustrated.
引用
收藏
页码：8712 / 8724
页数：13
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